# $${\mathcal {PT}}$$PT-symmetric dimers with time-periodic gain/loss function

@article{Psiachos2014mathcalD, title={\$\$\{\mathcal \{PT\}\}\$\$PT-symmetric dimers with time-periodic gain/loss function}, author={Demetra Psiachos and Nick Lazarides and Giorgos P. Tsironis}, journal={Applied Physics A}, year={2014}, volume={117}, pages={663-672} }

Abstract$${\mathcal {PT}}$$PT-symmetric dimers with a time-periodic gain/loss function in a balanced configuration where the amount of gain equals that of loss are investigated analytically and numerically. Two prototypical dimers in the linear regime are investigated: a system of coupled classical oscillators, and a Schrödinger dimer representing the coupling of field amplitudes, each system representing a wide class of physical models. Through a thorough analysis of their stability behavior…

## 7 Citations

Dynamics of generalized PT-symmetric dimers with time-periodic gain–loss

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Photonic Floquet media with a complex time-periodic permittivity

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We study the exceptional point (EP) phenomena in a photonic medium with a complex time-periodic permiitivity, i.e., $\epsilon(t)=\epsilon_o+\epsilon_r*sin(\Omega t+\phi)$. We formulate the Maxwell's…

Non-Convergent Perturbation Theory and Misleading Inferences about Parameter Relationships: the Case of Superexchange

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We present a general theory of exceptional points of degeneracy (EPD) in periodically time-variant systems that do not necessarily require the presence of loss or gain and we show that even a single…

Nonlinear waves in PT -symmetric systems

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- 2016

The concept of parity-time symmetric systems is rooted in non-Hermitian quantum mechanics where complex potentials obeying this symmetry could exhibit real spectra. The concept has applications in…

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- 2018

We introduce the notion of adiabatic state flip of a Floquet Hamiltonian associated with a non-Hermitian system that it is subjected to two driving schemes with clear separation of time scales. The…

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